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Finding the Fourth Proportional to 459,794.56, 689,415.04 and 175,504

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Solution

The fourth proportional to 459,794.56, 689,415.04 and 175,504 is: 263,150.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    459,794.56 : 689,415.04 = 175,504 : x
  2. Step 2: Convert to fraction form
    459,794.56/689,415.04 = 175,504/x
  3. Step 3: Cross multiply
    459,794.56x = 689,415.04 × 175,504
  4. Step 4: Simplify right side
    459,794.56x = 120,995,097,180.16
  5. Step 5: Solve for x
    x = 120,995,097,180.16/459,794.56
  6. Step 6: Final answer
    x = 263,150.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.